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Finding the Third Proportional to 6,042.01 and 8,117.96

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Solution

The third proportional to 6,042.01 and 8,117.96 is: 10,907.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,042.01 : 8,117.96 = 8,117.96 : x
  2. Step 2: Convert to fraction form
    6,042.01/8,117.96 = 8,117.96/x
  3. Step 3: Cross multiply
    6,042.01x = 8,117.96 × 8,117.96
  4. Step 4: Simplify right side
    6,042.01x = 65,901,210.51
  5. Step 5: Solve for x
    x = 65,901,210.51/6,042.01
  6. Step 6: Final answer
    x = 10,907.16

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.